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Finding the Fourth Proportional to 835.90, 1,254.32 and 316.25

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Solution

The fourth proportional to 835.90, 1,254.32 and 316.25 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.90 : 1,254.32 = 316.25 : x
  2. Step 2: Convert to fraction form
    835.90/1,254.32 = 316.25/x
  3. Step 3: Cross multiply
    835.90x = 1,254.32 × 316.25
  4. Step 4: Simplify right side
    835.90x = 396,670.85
  5. Step 5: Solve for x
    x = 396,670.85/835.90
  6. Step 6: Final answer
    x = 474.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.